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Finding the Fourth Proportional to 843.34, 1,163.78 and 489.25

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Solution

The fourth proportional to 843.34, 1,163.78 and 489.25 is: 675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.34 : 1,163.78 = 489.25 : x
  2. Step 2: Convert to fraction form
    843.34/1,163.78 = 489.25/x
  3. Step 3: Cross multiply
    843.34x = 1,163.78 × 489.25
  4. Step 4: Simplify right side
    843.34x = 569,375.17
  5. Step 5: Solve for x
    x = 569,375.17/843.34
  6. Step 6: Final answer
    x = 675.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.